BIBO stability of fractional-order controlled nonlinear systems |
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| Authors: | Song Liang Liping Chen |
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| Affiliation: | 1. School of Mathematics, Anhui University, Hefei, China;2. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China |
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| Abstract: | The BIBO stability of fractional-order controlled nonlinear systems is investigated in this paper. By introducing the properties of some Mittag-Leffler functions and using an inequality satisfied by the Caputo derivative of a Lyapunov function, sufficient conditions to guarantee the BIBO stability are firstly presented. Then, the boundedness of solutions of the fractional financial system and the fractional low-order atmospheric circulation system are proved by the established stability results. Besides, two illustrative examples verify the theoretical results. |
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| Keywords: | Internal stability BIBO stability fractional-order system fractional financial system fractional atmospheric circulation system |
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